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Finding the Fourth Proportional to 402,194.06, 603,365.22 and 132,337.70

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Solution

The fourth proportional to 402,194.06, 603,365.22 and 132,337.70 is: 198,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,194.06 : 603,365.22 = 132,337.70 : x
  2. Step 2: Convert to fraction form
    402,194.06/603,365.22 = 132,337.70/x
  3. Step 3: Cross multiply
    402,194.06x = 603,365.22 × 132,337.70
  4. Step 4: Simplify right side
    402,194.06x = 79,847,965,474.79
  5. Step 5: Solve for x
    x = 79,847,965,474.79/402,194.06
  6. Step 6: Final answer
    x = 198,530.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.